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Popular >

integral from 3 to 4 of x^2+x-5

Solution

\int_{3}^{4} x^{2} + x - 5 d x

Solution

\frac{65}{6}

+1

Decimal Notation

10.83333 \dots

Solution steps

\int_{3}^{4} x^{2} + x - 5 d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int_{3}^{4} x^{2} d x + \int_{3}^{4} x d x - \int_{3}^{4} 5 d x

\int_{3}^{4} x^{2} d x = \frac{37}{3}

\int_{3}^{4} x d x = \frac{7}{2}

\int_{3}^{4} 5 d x = 5

= \frac{37}{3} + \frac{7}{2} - 5

Simplify

\frac{37}{3} + \frac{7}{2} - 5 : \frac{65}{6}

= \frac{65}{6}

Popular Examples

integral from 0 to r of r

\int_{0}^{r} r d r

integral from-x to x of x

\int_{- x}^{x} x d x

integral from 1 to 2 of 1/(xsqrt(x-1))

\int_{1}^{2} \frac{1}{x x - 1} d x

integral from-3 to 2 of (2x)/(x^2+5)

\int_{- 3}^{2} \frac{2 x}{x ^{2} + 5} d x

integral from-pi to pi of x^3cos(x)

\int_{- π}^{π} x^{3} cos (x) d x

Frequently Asked Questions (FAQ)

What is the integral from 3 to 4 of x^2+x-5 ?
The integral from 3 to 4 of x^2+x-5 is 65/6